The present paper concerns the problem of determining the variations in the six orbital elements of a planetary body when one or more of the original observations are affected by known errors. Differential expressions are derived for these variations which eliminate the necessity of having to re-compute the orbit several times. A numerical example is included in which results of these expressions are compared with actual residuals as obtained from two orbital calculations of the same asteroid.


Orbital Element Earth Satellite Naval Research Laboratory Planetary Orbit Planetary Body 
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Copyright information

© Springer-Verlag Wien 1961

Authors and Affiliations

  • Robert F. Weirauch
    • 1
  1. 1.Lockheed Aircraft CorporationPalo AltoUSA

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